Factors of 2413,2416 and 2418
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Solution Factors are numbers that can divide without remainder. Factors of 2413 2413/1 = 2413 gives remainder 0 and so are divisible by 12413/19 = 127 gives remainder 0 and so are divisible by 19 2413/127 = 19 gives remainder 0 and so are divisible by 127 2413/2413 = 1 gives remainder 0 and so are divisible by 2413 Factors of 2416 2416/1 = 2416 gives remainder 0 and so are divisible by 12416/2 = 1208 gives remainder 0 and so are divisible by 2 2416/4 = 604 gives remainder 0 and so are divisible by 4 2416/8 = 302 gives remainder 0 and so are divisible by 8 2416/16 = 151 gives remainder 0 and so are divisible by 16 2416/151 = 16 gives remainder 0 and so are divisible by 151 2416/302 = 8 gives remainder 0 and so are divisible by 302 2416/604 = 4 gives remainder 0 and so are divisible by 604 2416/1208 = 2 gives remainder 0 and so are divisible by 1208 2416/2416 = 1 gives remainder 0 and so are divisible by 2416 Factors of 2418 2418/1 = 2418 gives remainder 0 and so are divisible by 12418/2 = 1209 gives remainder 0 and so are divisible by 2 2418/3 = 806 gives remainder 0 and so are divisible by 3 2418/6 = 403 gives remainder 0 and so are divisible by 6 2418/13 = 186 gives remainder 0 and so are divisible by 13 2418/26 = 93 gives remainder 0 and so are divisible by 26 2418/31 = 78 gives remainder 0 and so are divisible by 31 2418/39 = 62 gives remainder 0 and so are divisible by 39 2418/62 = 39 gives remainder 0 and so are divisible by 62 2418/78 = 31 gives remainder 0 and so are divisible by 78 2418/93 = 26 gives remainder 0 and so are divisible by 93 2418/186 = 13 gives remainder 0 and so are divisible by 186 2418/403 = 6 gives remainder 0 and so are divisible by 403 2418/806 = 3 gives remainder 0 and so are divisible by 806 2418/1209 = 2 gives remainder 0 and so are divisible by 1209 2418/2418 = 1 gives remainder 0 and so are divisible by 2418 |
Converting to factors of 2413,2416,2418
We get factors of 2413,2416,2418 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 2413,2416,2418 without remainders. So first number to consider is 1 and 2413,2416,2418
Getting factors is done by diving the number with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.
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Other number conversions to consider
Factors are the numbers you multiply to get another number. For instance, the factors of 25 are 5 and 5, because 5×5 = 25. Some numbers have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4. A number that can only be factored as 1 times itself is called "prime". The first few primes are 2, 3, 5, 7, 11, and 13. The number 1 is not regarded as a prime, and is usually not included in factorizations, because 1 goes into everything. (The number 1 is a bit boring in this context, so it gets ignored.
By the way, there are some divisibility rules that can help you find the numbers to divide by. There are many divisibility rules, but the simplest to use are these: If the number is even, then it's divisible by 2. If the number's digits sum to a number that's divisible by 3, then the number itself is divisible by 3. If the number ends with a 0 or a 5, then it's divisible by 5.
Of course, if the number is divisible twice by 2, then it's divisible by 4; if it's divisible by 2 and by 3, then it's divisible by 6; and if it's divisible twice by 3 (or if the sum of the digits is divisible by 9), then it's divisible by 9. But since you're finding the factorization, you don't really care about these non-prime divisibility rules. There is a rule for divisibility by 7, but it's complicated enough that it's probably easier to just do the division on your calculator and see if it comes out even.
If you run out of small numbers and you are not done factoring, then keep trying bigger and bigger whole numbers (9, 14, 17, 20, 23, etc) until you find number that can divide without remainder. For example, 13 is a factor of 52 because 13 divides exactly into 52 (52 ÷ 13 = 4 leaving no remainder). The complete list of factors of 52 is: 1, 2, 4, 13, 26, and 52 (all these divide exactly into 52). If your number doesn't divide in, then the only potential divisors are bigger numbers. Since the square of your number is bigger than the number.